✦ LIBER ✦

Steady state solutions of a one-dimensional biofilm model

✍ Scribed by L.A. Pritchett; J.D. Dockery

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 612 KB
Volume: 33
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(00)00242-9

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✦ Synopsis

A single species biofilm model is presented, and the existence of steady state solutions of this model is proved. The model which does not include detachment suggests that a steady state solution is possible if the inactivation rate is zero. It is also shown that a steady state solution corresponding to the absence of active biomass is linearly unstable provided the bulk substrate satisfies an inequality involving the observed decay rate.

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